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Simplifying (5x + 15)(2x + 6) = 0 Reorder the terms: (15 + 5x)(2x + 6) = 0 Reorder the terms: (15 + 5x)(6 + 2x) = 0 Multiply (15 + 5x) * (6 + 2x) (15(6 + 2x) + 5x * (6 + 2x)) = 0 ((6 * 15 + 2x * 15) + 5x * (6 + 2x)) = 0 ((90 + 30x) + 5x * (6 + 2x)) = 0 (90 + 30x + (6 * 5x + 2x * 5x)) = 0 (90 + 30x + (30x + 10x2)) = 0 Combine like terms: 30x + 30x = 60x (90 + 60x + 10x2) = 0 Solving 90 + 60x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(9 + 6x + x2) = 0 Factor a trinomial. 10((3 + x)(3 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3, -3}
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